It is not possible to create a "DelaunayTri" object without re-triangulation. To create the "DelaunayTri " object you have to use the extracted points from the "triangulation" object. As of MATLAB R2024b, "DelaunayTri " class is not recommended and it's preferable to use the "delaunayTriangulation" class instead.
% Assume T is your Triangulation object
T = triangulation([1, 2, 3; 1, 3, 4], [0, 0; 1, 0; 0, 1; 1, 1]);
% Extract the points
points = T.Points;
% Create a DelaunayTri object
delaunayTriObj = DelaunayTri(points);
% Define points to check
P = [0.5, 0.5; 0.75, 0.75; 0.25, 0.25];
% Use pointLocation to find the triangles containing the points
triangleIndices = pointLocation(delaunayTriObj, P);
% Display the results
fprintf('Triangle indices for the query points: [%s]\n', join(string(triangleIndices),','));
For more information regarding the "delaunayTriangulation" class, refer to the following documentation: https://www.mathworks.com/help/matlab/ref/delaunaytriangulation.html
